313678142064 has 360 divisors, whose sum is σ = 1071455648640. Its totient is φ = 85305830400.

The previous prime is 313678142027. The next prime is 313678142069. The reversal of 313678142064 is 460241876313.

313678142064 is a `hidden beast` number, since 3 + 1 + 367 + 81 + 4 + 206 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313678142069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13331142 + ... + 13354650.

Almost surely, 2^313678142064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313678142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535727824320).

313678142064 is an abundant number, since it is smaller than the sum of its proper divisors (757777506576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313678142064 is a wasteful number, since it uses less digits than its factorization.

313678142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23629 (or 23613 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 313678142064 in words is "three hundred thirteen billion, six hundred seventy-eight million, one hundred forty-two thousand, sixty-four".